Question

Q3. 120 pts) There is some indication that consumption of moderate amounts of wine can help prevent heart attacks. Below is a plot and summary of yearly wine consumption (liters of alcohol fromm drinking wine, per person) and yearly death rates from heart disease (deaths per 100,000 for a of & n contries Heart discase death rate167 131 220 71 107 167 115 236 Alcohol from wine Heart death rate 158.0圡(x,-my,-»-1124.8 68.804 4.45 Mcan Std Dev 2.864 Std Dev 8156 aX2j Identify the Response Variable Heair disease desath rae b)l3] Compate the least squares estimate of the slope, bl 9.1-1,3 7. e12] Give an interpretation of the slope within the context of the problem From the folowing problen T would say the slope does Show a care trion biven re wine less henk ia d)[3] Compute the least squares estimate of the y-intercept, b 7-274-30.71 -21S e) [2) Give an interpretation of the y-intercept within the gsoptext of the problem. Y slope shous Thot more lcoho mcans less oesh f) [8] (i)Give the equation of the least squares regression line x-Xdiseaefor anodher Europesn country, Spain. which has a wine consumptidn of 6.5 liters per person. 20 Spain? disease in Spain is 86. What is the residual for Зу
i need the answers to b c d e and f

Answer 1

Least square formula :- Y = B_o + B₁X

B_{1 =}   

_{Bo = mean of y - B1 * mean of x}

ŷ = -14.10801X + 208.28066

b) slope (B₁) = -14.10801

c) interpretation of slope :-  slope (B₁) = -14.10801 means y decrease -14.10801( per 100000) by increase of one unit x. means heart disease death rate decrease -14.10801 by increase of one unit acchohol consumption( per person).

d) intercept (Bo) = 208.28066

e) interpretation of intercept :- intercept (Bo) = 208.28066 means heart disease death rate is 208.28066 per 100000 when alchohol consumption is minimum per person.

f) equation of least square line :- Y = B_o + B₁X

i) spain, wine consumption 6.5 liters per person so, x is 6.5

therefore, Y = 208.28066 +( -14.10801* 6.5)

= 116.578 is predict death rate from heart.

ii) actual death rate from heart disease is 86. so, residual for spain is (116.578 - 86) = 83